Large Numbers

http://mrob.com/pub/math/largenum.html


This page begins with million, billion, etc., proceeds through Googolplex and Skewes' numbers (organized into "classes" based on the height of the power-tower involved), then moves on through "tetration", the Moser and the Graham-Rothschild number, on to lesser-known hierarchies of recursive functions, the theory of computation, transfinite numbers and infinities. If it's a number and it's large, it's probably here.
Contents
Author's Introduction
Class 0 Numbers (like 3)
Class 1 Numbers (like 100)
Class 2 Numbers (like googol)
The -illion Names
Conway-Wechsler Extension
Knuth -yllion System
Class 3 Numbers (like googolplex)
Class 4 Numbers
Skewes' Number
Higher Classes
The Quality of Uncomputably Larger
Power Towers
Inventing New Operators and Functions
Beyond Exponents: hyper4
Hyperfactorial and Superfactorial
Higher hyper Operators
Bowers' Array Notation
Steinhaus-Moser-Ackermann operators
Friedman sequences
The various "Graham's" numbers :
  The Graham-Rothschild Number
  The Graham-Gardner Number
  The Graham-Conway Number
Superclasses
Conway's Chained Arrow Notation
  A Partial Ordering for short Conway chains
Bowers' Extended Operators
Generalized Invention of Recursive Functions
Formal Grammars
Lin-Rado Busy Beaver Function
Beyond BB Function
Oracle Turing Machines
Transfinite and Infinite
Ordinal Infinities
Aleph-One
The Continuum
Inaccessible Infinities
Footnotes
Bibliography and other References
Other Links